[just another ref]

The two calls have nothing to do with each other. If the player is fouled in the act and the ball goes in, the basket counts. Sure, that's on your list of things to watch, and you should have actually seen the ball go in, but since you didn't, checking with the table is acceptable. The T for the backboard slap is what it is. If the player deliberately slaps the board, and the slap was not part of a legitimate block attempt, it is a technical foul. You either call it or choose to ignore it, which probably happens more often than it should.